Finite difference scheme for simulating a generalized two-dimensional multi-term time fractional non-Newtonian fluid model

摘要: A finite difference scheme, based upon the Crank–Nicolson is applied to numerical approximation of a two-dimensional time fractional non-Newtonian fluid model. This model not only possesses multi-term derivative, but also contains special operator on spatial derivative. And very important lemma proposed and proved, which plays vital role in proof unconditional stability. The stability convergence scheme are discussed theoretically proved by energy method. Numerical experiments given validate accuracy efficiency results indicate that this effective for simulating generalized diffusion